Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 11 - Section 11.5 - Minimum Spanning Trees - Supplementary Exercises - Page 806: 29

Answer

Showing that a cactus is formed if we add a circuit containing new edges beginning and ending at a vertex of a tree.

Work Step by Step

The resulting graph has no edge that is in more than one simple circuit of the type described. Hence, it is a cactus
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